Tensor triangular geometry -- Notes for an Oberwolfach Seminar
Category Theory
2026-05-20 v1 Algebraic Geometry
Algebraic Topology
Representation Theory
Abstract
These are the notes from lectures I gave at the Oberwolfach Seminar "Tensor Triangular Geometry and Interactions" which was held in October 2025. The aim of these notes is twofold: We develop notions of support for triangulated categories, and we apply them to classify thick and localising tensor ideals of categories that arise in modular representation theory of finite groups.
Keywords
Cite
@article{arxiv.2605.19983,
title = {Tensor triangular geometry -- Notes for an Oberwolfach Seminar},
author = {Henning Krause},
journal= {arXiv preprint arXiv:2605.19983},
year = {2026}
}
Comments
51 pages. These notes are complemented by notes of Nat\`alia Castellana and Greg Stevenson. They will be published together in a forthcoming volume of the "Oberwolfach Seminars" book series by Birkh\"auser Science